Republican Senate hopeful Ben Sasse speaks in Lincoln, Neb., Tuesday, May 13, 2014, after winning his party's primary election. Sasse captured the Republican nomination for U.S. Senate in a bitter race that highlighted fissures within the GOP. (AP Photo)

WASHINGTON (AP) – The Tea Party scored a win in Nebraska on Tuesday as university president Ben Sasse captured the Republican nomination for U.S. Senate in a bitter race that highlighted fissures within the GOP. Two women set the stage for history-making in West Virginia.

Sasse, who had the backing of outside conservative groups as well as Sen. Ted Cruz and Sarah Palin, grabbed 48 percent of the vote in a five-man primary. Sid Dinsdale, the president of Pinnacle Bank, surged to second, while former State Treasurer Shane Osborn finished third.

"We were never doing this because we need another job," Sasse told supporters Tuesday night. "We were only going to do this if we were going to talk about big, bold, conservative ideas."

Outside groups pumped millions into the race for Sasse while allies of Senate Minority Leader Mitch McConnell, R-Ky., tried to propel Osborn to the nomination.

"Ben Sasse won this race because he never stopped fighting for conservative principles," said Matt Hoskins, executive director of the Senate Conservatives Fund. The group spent more than $1.2 million to help Sasse.

Cruz said Sasse's win "is a clear indication that the grassroots are rising up to make D.C. listen."

Voters in Nebraska and West Virginia decided their lineups for the November elections in the latest round of spring primaries. The fall midterms will determine control of Congress for the last two years of President Barack Obama's second term, with Republicans expected to hold the House and cautiously optimistic about winning control of the Senate.

The GOP needs to net six seats to grab the majority

In West Virginia, Republican Rep. Shelley Moore Capito and Democrat Natalie Tennant cruised to primary wins and will square off in a Senate showdown in November that will give the state its first female senator.

Capito is a seven-term congresswoman and daughter of former Gov. Arch Moore; Tennant is the state's secretary of state. Democratic Sen. Jay Rockefeller is retiring after 30 years.

West Virginia has become increasingly Republican, and Capito entered the general election contest as the heavy favorite. If elected, she would be the first Republican senator from West Virginia since 1959.

In Nebraska, Sasse, who heads Midland University, had the backing of the Tea Party Patriots and FreedomWorks in his bid to replace Republican Sen. Mike Johanns, who is retiring after a single six-year term.

Sasse had focused on his conservative credentials, opposition to abortion, support for gun rights and goal of repealing and replacing the Affordable Care Act.

In one 30-second ad, Sasse's two young daughters, Alex and Corrie, talk about how much their dad opposes the Affordable Care Act. "He wants to destroy it," says one daughter. "He despises it," says the other.

While Sasse won over tea partyers, he offered voters some significant establishment credentials. He served as an assistant secretary in the Health and Human Services Department in President George W. Bush's administration, studied at Harvard and Yale, and was a visiting scholar in economics at the Brookings Institution.

Sasse is a heavy favorite against Democratic nominee Dave Domina in the Republican-leaning state.

The National Republican Senatorial Committee, which had remained neutral, called Sasse a "problem-solver who will be a conservative voice" to repeal the health care law.

The tea party has struggled this year as candidates have lost to establishment favorites in Texas, North Carolina and Ohio, and Nebraska stood as the insurgent movement's best remaining shot. Looking ahead to upcoming primaries, the tea party's chances to upset incumbents have been diminishing in Kentucky, Kansas, Idaho and Mississippi.

The Republican establishment has a love-hate relationship with the tea party. It welcomed the movement's energy that propelled the GOP to control of the House in the 2010 elections, but it blames tea partyers for less-than-viable general election candidates in 2010 and 2012 Senate races in Indiana, Colorado, Nevada and Delaware.

Republicans in the capital remain convinced they could have won control of the Senate if only their establishment candidates had won more primaries, and some in the party have been determined to defeat the movement's candidates this election.

In West Virginia, Democratic names like Byrd and Rockefeller dominated politics for decades, but since 2000, the state has voted Republican in presidential elections. The transformation is widely expected to continue this fall as Republicans capitalize on voter antipathy toward Obama, who lost all of the state's 55 counties in 2012.

Capito's planned departure from the House created a messy GOP primary in her 2nd Congressional District that stretches across the state.

Alex Mooney, the former chairman of the Maryland GOP who moved to West Virginia, captured the nomination in a seven-candidate race and will face Democrat Nick Casey, the former state party chairman of West Virginia, in the fall.

In his appeal to voters, Mooney's campaign said he moved to West Virginia to "live in freedom, and he'll fight Obama to preserve it."

One of the most endangered House Democrats is 19-term Rep. Nick Rahall, who easily won his primary and will face Democrat-turned-Republican Evan Jenkins in the fall.